3 papers
math.RT2026
Lusztig constants and endoscopy
Wille Liu, Wei-Hsuan Hsin, Cheng-Chiang Tsai
We prove that on a semisimple Lie algebra over a finite field of large characteristic, if a complex-valued invariant function and its Fourier transform …
math.RT2026
On local integrability results for -adic reductive groups
Cheng-Chiang Tsai
We present a short proof, based on local character expansions, of the celebrated theorem of Harish-Chandra about local integrability of complex characters of -adic reductive gro…
math.RT2025
On two definitions of wave-front sets for -adic groups
Cheng-Chiang Tsai
The wave-front set for an irreducible admissible representation of a -adic reductive group is the set of maximal nilpotent orbits which appear in the local character expansion.…